Looks like this may be a very ancient version of what is now called Adobe Lightroom Classic (and which is version 9). I doubt that Lightroom 3 will run on Catalina.
There is also a new application simply called 'Adobe Lightroom', and this happens to be at version 3.1 right now, but because that application is simply called 'Adobe Lightroom' on your computer, I'm not sure which app it is that is giving you this error message.
So which Lightroom is this? The very old Lightroom (Classic) 3? Or the new Lightroom? If it is the new Lightroom then you should uninstall and reinstall it.